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Addition of Vectors Video Lecture | Mathematics (Maths) Class 12 - JEE

205 videos|264 docs|139 tests

FAQs on Addition of Vectors Video Lecture - Mathematics (Maths) Class 12 - JEE

1. What is vector addition?
Ans. Vector addition is the mathematical operation of combining two or more vectors to obtain a resultant vector. It involves adding the corresponding components of the vectors in the same direction to calculate the resultant vector.
2. How can vector addition be represented graphically?
Ans. Vector addition can be represented graphically using the head-to-tail method. In this method, the tail of the second vector is placed at the head of the first vector, and the resultant vector is drawn from the tail of the first vector to the head of the second vector.
3. What is the difference between vector addition and scalar addition?
Ans. Vector addition involves adding vectors, which have both magnitude and direction. Scalar addition, on the other hand, involves adding scalars, which only have magnitude. In vector addition, the direction of the vectors plays a crucial role, while in scalar addition, only the magnitudes are considered.
4. Can vector addition result in a vector with a smaller magnitude than the original vectors?
Ans. No, vector addition cannot result in a vector with a smaller magnitude than the original vectors. The magnitude of the resultant vector obtained by adding two or more vectors is always equal to or greater than the magnitudes of the individual vectors being added.
5. Is the order of vector addition important?
Ans. No, the order of vector addition does not matter. The resultant vector obtained by adding two or more vectors remains the same regardless of the order in which the vectors are added. This property is known as the commutative property of vector addition.
205 videos|264 docs|139 tests
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